On Maximal Surfaces in Certain Non-Flat 3-Dimensional Robertson-Walker Spacetimes

被引：3

作者：

Romero, Alfonso ^{[2
]}

Rubio, Rafael M. ^{[1
]}

机构：

[1] Univ Cordoba, Dept Matemat, E-14071 Cordoba, Spain

[2] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2012年 / 15卷 / 03期

关键词：

Spacelike surface; zero mean curvature; Calabi-Bernstein problem; Robertson-Walker spacetime; CONSTANT MEAN-CURVATURE; SPACELIKE HYPERSURFACES; UNIQUENESS;

D O I：

10.1007/s11040-012-9108-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An upper bound for the integral, on a geodesic disc, of the squared length of the gradient of a distinguished function on any maximal surface in certain non-flat 3-dimensional Robertson-Walker spacetimes is obtained. As an application, a new proof of a known Calabi-Bernstein's theorem is given.

引用

页码：193 / 202

页数：10

共 22 条

[21] Surfaces in Non-flat 3-Space Forms Satisfying □(H)over-right-arrow = λ(H)over-right-arrow
Alias, Luis J.
Garcia-Martinez, S. Carolina
Ramirez-Ospina, H. Fabian
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (06)
[22] Surfaces in Non-flat 3-Space Forms Satisfying □H→=λH→\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\square \vec {\textbf{H}}=\lambda \vec {\textbf{H}}$$\end{document}
Luis J. Alías
S. Carolina García-Martínez
H. Fabián Ramírez-Ospina
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46 (6)

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